431345163340 has 192 divisors, whose sum is σ = 1145786923008. Its totient is φ = 132748646400.

The previous prime is 431345163331. The next prime is 431345163421. The reversal of 431345163340 is 43361543134.

It is a super-2 number, since 2×431345163340² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 431345163340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23197527 + ... + 23216113.

It is an arithmetic number, because the mean of its divisors is an integer number (5967640224).

Almost surely, 2^431345163340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431345163340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572893461504).

431345163340 is an abundant number, since it is smaller than the sum of its proper divisors (714441759668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431345163340 is a wasteful number, since it uses less digits than its factorization.

431345163340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18968 (or 18966 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 37.

The spelling of 431345163340 in words is "four hundred thirty-one billion, three hundred forty-five million, one hundred sixty-three thousand, three hundred forty".